Computer implementation of a new approach to the ideal resonance problem

DOI10.1007/BF01229003zbMath0674.70033OpenAlexW4249367705MaRDI QIDQ3829123

R. A. Howland

Publication date: 1989

Published in: Celestial Mechanics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01229003

zbMATH Keywords

HamiltoniansREDUCEnon-canonical transformationFORTRANsimple harmonic oscillatorLISPideal resonance problemlibrational solution

Mathematics Subject Classification ID

Computational methods for problems pertaining to mechanics of particles and systems (70-08) Nonlinear resonances for nonlinear problems in mechanics (70K30)

Uses Software

• Unnamed Item

Cites Work

• Computer implementation of an algorithm for the quadratic analytical solution of Hamiltonian systems
• On resonance in celestial mechanics
• An accelerated elimination technique for the solution of perturbed Hamiltonian systems
• An improved transformation-elimination technique for the solution of perturbed Hamiltonian systems
• PROOF OF A THEOREM OF A. N. KOLMOGOROV ON THE INVARIANCE OF QUASI-PERIODIC MOTIONS UNDER SMALL PERTURBATIONS OF THE HAMILTONIAN
• Canonical transformations depending on a small parameter

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